## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 74

Page 741

The Dirichlet problem for linear elliptic

variable coefficients . Proc . Nat . ... Assumption of boundary values and the

Green's function in the Dirichlet problem for the general linear elliptic

Proc .

The Dirichlet problem for linear elliptic

**equations**of arbitrary even order withvariable coefficients . Proc . Nat . ... Assumption of boundary values and the

Green's function in the Dirichlet problem for the general linear elliptic

**equation**.Proc .

Page 763

Sci . U.S.A. 33 , 376-379 ( 1947 ) . 3. The asymptotic arcus variation of solutions

of real linear differential

1948 ) . 4. Criteria for the non - degeneracy of the wave

.

Sci . U.S.A. 33 , 376-379 ( 1947 ) . 3. The asymptotic arcus variation of solutions

of real linear differential

**equations**of second order . Amer . J. Math . 70 , 1-10 (1948 ) . 4. Criteria for the non - degeneracy of the wave

**equation**. Amer . J. Math.

Page 779

On the connection formulas and the solutions of the wave

51 , 669-676 ( 1937 ) . 2 . On the wave

Phys . Rev. 75 , 1573–1578 ( 1949 ) . 3 . The expansion problem in the theory of

...

On the connection formulas and the solutions of the wave

**equation**. Phys . Rev.51 , 669-676 ( 1937 ) . 2 . On the wave

**equation**with small quantum numbers .Phys . Rev. 75 , 1573–1578 ( 1949 ) . 3 . The expansion problem in the theory of

...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isometric isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space neighborhood norm obtained operator positive measure problem Proc PROOF properties proved regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero